Given the function g(x)=√x+4, which of the following values cannot be the domain of g?
A. X=1
B. X=2
C. X=12
D. X=-5

Answers

Answer 1

Answer:

  D.  x = -5

Step-by-step explanation:

The square root function is only defined for non-negative arguments. For the function ...

  [tex]g(x)=\sqrt{x+4}[/tex]

this means we must have ...

  x +4 ≥ 0

  x ≥ -4 . . . . . . subtract 4 from both sides

All of the numbers on your answer choice list are more than -4 except -5.

  x = -5 is not in the domain of g(x)


Related Questions

Rachel's starting salary was $45,000 per year.
Rachel received a 3.7% raise every year after her first
year. How much is Rachel making now, & years later?

Answers

Answer:

After 1 year $46,665

Vf = Vi ( 1 + r/m) ^ tm

Step-by-step explanation:

Vf = Final Value

Vi = Initial Value ($45,000)

r = Interest Rate (3.7%, put in decimal form so .037)

m = Compound Rate (amount of times it increases every year, for this it would be 1)

t = Amount of years you are forecasting

45000 * (1 + .037)²

45000 * (1.037)²

45000 * 1.075369

$48,391.605 in 2 years

10 people each wants 3 slices but a box has 8 slices

Answers

Answer:

you need 30 slices

a minimum of 4 boxes of pizza

Step-by-step explanation:

Researchers are recording how much of an experimental medication is in a person's bloodstream every hour. they discover that half-life of the medication is about 6 hours.​

Answers

By using the known half-life, we can see that if the initial dose is 500mg, after 4 days the medication will be 0.0076 mg.

What is the half-life?

We define half-life as the time such that the initial amount is reduced to its half.

So, if a given substance has a half-life T, then the amount of substance as a function of time, we have:

S(t) = A*e^{-t*ln(2)/T}

Where t is the variable in time units.

We know that T = 6 hours, and A, the initial dose, is 500 mg, so the formula is:

S(t) = 500mg*e^{-t*ln(2)/6h}

Then after 4 days (or 4*24h = 96h) the amount of medication is:

S(96h) =  500mg*e^{-96h*ln(2)/6h} = 0.0076 mg.

If the initial dose was 750mg, after 4 days the person would have:

S(96h) = 750mg*e^{-96h*ln(2)/6h} = 0.0114 mg

So the person would have:

0.0114 mg -  0.0076 mg = 0.038 mg more of medication.

If you want to learn more about the half-life, you can read:

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The temperature in the freezer is -15°C. The temperature outside the freezer is 10°C. Find the difference between these two temperatures.

Is the answer 25? Just checking :)​

Answers

Answer:

Yes it is 25

Step-by-step explanation:

10 - 25 = -15

-15 + 25 = 10

1. Suppose that a theater charges a school group $4.50 per student to show a special film. Suppose that the theater's operating expenses include $130 for the staff and a film rental fee of $1.25 per student.

a. What equation relates the number of students x to the theater's income I?

b. What equation relates the theater's operating expenses E to the number of students x?

c. Copy and complete the table below.

Theater Income and Expenses
Number of Students, x 0 10 20 30 40 50 60 70
Income, I ($) box box box box box box box box
Expenses, E ($) box box box box box box box box
d. On the same set of axes, graph the theater's income and operating expenses for any number of students from 0 to 100.

e. Describe the patterns by which income and operating expenses increase as the number of students in a group increases.

f. Write and solve an equation that you can use to answer the question “How many students need to attend the movie so that the theater's income will equal its operating expenses?”

g. Write an equation that represents the theater's profit. Compare your equation to those your classmates wrote.

h. Find the number of students that make each of the following inequality statements true.

i. E < 255

ii. I > 675

Answers

The functions I(x) and E(x) of the theatre's income and expenses are illustrations of linear functions.

The equation of the theatre's income

The theatre charges $4.50 per student.

Assume the number of students is x, the equation of the theatre's income would be:

I(x) = 4.5x

The equation of the theatre's expenses

The theatre expense per student is $1.25, and the operating cost on the staff is $130

The equation of the theatre's expenses would be:

E(x) = 1.25x + 130

Complete the table

Using the formulas I(x) = 4.5x and E(x) = 1.25x + 130, the complete table is:

Students, x  0       10        20     30      40      50      60    70

Income, I      0      45        90     135     180    225    270   315

Expenses, E 130  142.5   155    167.5   180   192.5   205  217.5

The graph of the theatre's income and expenses

See attachment

The pattern by which theatre's income and expenses increase

The functions I(x) and E(x) are linear functions.

So, the pattern with which the functions increase is a linear pattern.

The number of students when the theatre's income and expenses are equal

This means that:

I(x) = E(x)

So, we have:

4.5x = 1.25x + 130

Subtract 1.25 from both sides

3.25x = 130

Divide both sides by 3.25

x = 40

Hence, the number of students is 40

The theatre profit

This is the difference between the theatre expenses and their income.

So, we have:

P(x) = E(x) - I(x)

This gives

P(x) = 1.25x + 130 - 4.5x

Simplify

P(x) = 130 - 3.25x

Solution to the inequalities

We have:

E(x) < 255

This gives

1.25x + 130 < 255

Subtract 130 from both sides and divide by 1.25

x < 100 students

Also, we have:

I(x) > 675

This gives

4.5x > 657

Solve for x

x > 146 students

Hence, the number of students for the inequalities are less than 100 and greater than 146

Read more about linear equations and inequalities at:

https://brainly.com/question/11234618

Ayan has $48 andis saving $10 per week and Gemma has $300 and is spending $8 per week. When will they both have the same amount of money? ​

Answers

Answer:

14 weeks

Step-by-step explanation:

First, write as an equation with x the number of weeks Ayan and Gemma's money:

-> Ayan's money: 48+10x because every week he wins 10 more dollars

-> Gemma's money 300-8x

Finally just solve the equation for x where ayan's money = gemma's money so :

48+10x=300-8x

add 8x on both side: 48+18x=300

substract 48 on both side to isolate x : 18x =252

devide by 18 on both side : x=14

Please help answer the attached question

Answers

Answer:

angle BCD = 108

Step-by-step explanation:

opposite angles in a cyclic quadrilateral add to 180

so angle BDC is 180 - 72 = 108

what are the angles 32 and 114 there for??

Planes Q and R are parallel planes. Plane Q contains line a. Plane R contains line b.

Planes Q and R are parallel. Plane Q contains line a and plane R contains line b. Both lines are going the same direction.
If a third plane could be drawn which contains both lines a and b, then

lines a and b must be parallel.
lines a and b cannot be parallel.
lines a and b must be skew.
lines a and b must be perpendicular.

Answers

Answer:

lines a and b must be parallel

Step-by-step explanation:

if lines a and b are parallel in plane r and q, then the lines must always be parallel.

Answer:

A

Step-by-step explanation:

on e2020

i don't understand this at alllll :(

Answers

Answer:

300

Step-by-step explanation:

volume of rectangle formula:

HEIGHT*WIDTH*LENGHT*

12*10(1/2)*20(1/4= 300

Answer:

2551.5in³

Step-by-step explanation:

this is easy if you know the formula.

volume = l*w*h

= 20.25*10.5*12= 2551.5in³

Can someone explain this to me?

Answers

The length was tripled by 1/2
If you turn 1/2 into a decimal it would be 0.5
Tripling 0.5 would just be multiplying it by 3
0.5 x 3 = 1.5
The answer would be A) 1.5x

What is the measure of arc XZ if the angle equals 135 and the radius is 17 km

Answers

now, let's make the assumption that the arcXZ has a central angle of 135° and a radius of 17.

[tex]\textit{arc's length}\\\\ s=\cfrac{\theta \pi r}{180}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=17\\ \theta =135 \end{cases}\implies s=\cfrac{(135)\pi (17)}{180}\implies s=\cfrac{51\pi }{4}\implies s\approx 40.06[/tex]

the following shape has 1 pair of parallel sides 2, 7, 3, 8

Answers

Answer:

I think it's 8

Step-by-step explanation:

because if you think of an octagon it has eight sides and the only parallel sides is pn the top of the octagon and the bottom of the octagon

Express 6 m as a percentage of 16 m.

Answers

Answer:

37.5%

Step-by-step explanation:

the percentage is calculated as a fraction of the quantities multiplied by 100% , that is

[tex]\frac{6}{16}[/tex] × 100% = 0.375 × 100% = 37.5%

Answer:

37.5%

Step-by-step explanation:

6/16×100

37.5%

brainiest please

Question Find the cube root. -125 divided by 3

Answers

Answer:

First of all multiply 5 in three times

base radius of 7cm and height of 35cm what is the cylinder's volume

Answers

Answer:

5390 cm³

Step-by-step explanation:

It is given that the base radius of a cylinder is 7cm and the height is 35cm and we are asked to find the volume of the cylinder.

We must know this formula :

⇒ Volume(Cylinder) = πr²h

We will take the value of π as 22/7

Now substituting the values :

⇒ Volume(Cylinder) = 22/7 × (7)² × 35

⇒ Volume(Cylinder) = 22/7 × 49 × 35

⇒ Volume(Cylinder) = 22 × 7 × 35

⇒ Volume(Cylinder) = 22 × 245

Volume(Cylinder) = 5390

Therefore,

The volume of the cylinder is 5390 cm³

Help me solve this please

Answers

There are 372 children, I hope my answer will be of use to you.

100 BRAINLY POINTS!!!

The scatter plot below shows the association between two variables.


Which two variables are most likely to have the association displayed by the scatter plot?

A. An animal's height and the number of legs it has.

B. The day of the month on which a person was born and the person's height.

C. The number of hours a person works and the amount of tips the person earns.

D. The number of hours a person spends studying and the number of hours the person spends doing
other activities.

HURRY CUH PLS

EXPLAIN YOUR ANSWER
SHOW YOUR WORK

Answers

Answer:

C

Step-by-step explanation:

This is a very interesting question,

Let's start off by determining what kind of function this is,

by looking at the graph we can say this is an almost linear function. So the correlation between the 2 values must be that if one increases the other increases according to a certain ratio which is our slope.

We want to eliminate wrong answers.

A. Does it make sense that an animal acquires more legs the taller it is?

This doesn't make any sense so A is out.

B. This is like saying, if i'm born in august i must be a good manager. There absolutely no correlation with the month you're born in, to your height.

So B is out.

C. Thus might actually make sense, the more you work, the more tips you make.

D. So basically here i'm saying is, the more i study the more activities i can do? this would be logical if the function were to be a line with a negative slope or "a decreasing line" or a "line going down". But this is not the case.

D is out.

so C must be our answer

A rental car company charges $36.39 per day to rent a car and $0.09 for every mile
driven. Miguel wants to rent a car, knowing that:
He plans to drive 225 miles.
• He has at most $480 to spend.
Which inequality can be used to determine x, the maximum number of days Miguel
can afford to rent for while staying within his budget?

Answers

Answer:

12 days

Explanation:

480 >/= 36.39x + 20.25

The  inequality to determine x, the maximum number of days Miguel

can afford to rent while staying within his budget is

202.5 + 36.39x ≤ 480

What is inequality?

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

Charges per day = $36.39

Charges per mile = $0.90

Total miles = 225

Total charges for 225 miles.

= 225 x 0.90

= $202.5

The maximum amount to spend = $480

The inequality for the maximum number of x days.

202.5 + 36.39x ≤ 480

Thus,

The  inequality to determine x, the maximum number of days is

202.5 + 36.39x ≤ 480

Learn more about inequalities here:

https://brainly.com/question/20383699

#SPJ2

Helen is having a birthday
party. Her friends arrive at
her house at 8:15 p.m. They
leave three hours later. What
time do Helen's friends leave?

Answers

Answer: 11:15 p.m 5:15 p.m.

Step-by-step explanation:

A circular counter top has a radius of 5 feet.
Enter the area, in square feet, of the counter top. Round your answer to the nearest tenth.

Answers

Answer:78.6[tex]ft^{2}[/tex]

Step-by-step explanation:

Area=π[tex]r^{2}[/tex]

Area=[tex]\frac{22}{7}[/tex] x [tex]5^{2}[/tex]

=[tex]\frac{22}{7}[/tex] x 25

=78.6[tex]ft^{2}[/tex]

Possible or impossible?

The difference is 3.
The difference is also
-3.

Answers

The difference is minus
So
x -(3) = x - 3
But
x -(-3) = x + 3
They are not equal
Impossible

on thursday and friday last week miss kelly rode her snowmobile 249 miles. ON friday she rode 35 more miles than she did on thursday. Howmany milesdid she ride each day? Write a system of eqautions for this situation and solve.

Answers

Step-by-step explanation:

x = miles ridden on Thursday

y = miles ridden on Friday

x + y = 249

y = x + 35

we can use the identity of the second equation in the first equation and solve :

x + (x + 35) = 249

2x + 35 = 249

2x = 214

x = 107 miles

y = x + 35 = 107 + 35 = 142 miles

on Thursday she rode 107 miles.

on Friday 142 miles.

An electrician has an income of $41,500. The income tax the electrician has to pay is 12%. What is the amount of income tax that the electrician has to pay? A) $3,840 B) $4,164 C) $4,980 D) $5,210.

Answers

Answer:

he has to pay 4980$ in tax So its C) 4,980

The amount of income tax that the electrician has to pay is $4980. Then the correct option is C.

What is the percentage?

The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.

An electrician has an income of $41,500.

The income tax the electrician has to pay is 12%.

Then the amount of income tax that the electrician has to pay will be

Amount of income tax = 0.12 × $41500

Amount of income tax = $ 4980

Thus, the amount of income tax that the electrician has to pay is $4980.

More about the percentage link is given below.

https://brainly.com/question/8011401

Ashley predicts that 92% of the people she invites to her party will come. If she wants to have at least 23 guests, how many people should she invite to her party?

Answers

Answer:

25 people

Step-by-step explanation:

So, you're trying to find how many she needs to invite since only 92% show up. With this problem, you need to figure out 92% of what number is 23. An equation for this is:

92/100 = 23/x

1. Cross multiply to get 92x=2300

2. Divide both sides to get x by itself. You should get x= 25

3. So, she should invite 25 people

Tom knows that in his school 10 out of every 85 students are left-handed.
There are 391 students in Tom's school.
how many students in Tom's school are left handed?

Answers

Answer:

46 are left handed

Step-by-step explanation:

divide 10 by 85 and you get 0.11764705882352941176470588235294 then multiply that by 391 and you get 46

A national survey is conducted to assess the association between hypertension and stroke in persons over 75 years of age with a family history of stroke. Development of stroke is monitored over a 5 year follow-up period. The data are summarized below and the numbers are in millions. Compute the RELATIVE RISK of stroke in hypertensive as compared to non-hypertensive persons.

Answers

The relative risk of stroke in hypertensive as compared to non-hypertensive persons will be 1.8367.

How to calculate relative risk?

From the complete information, those with hypertension that had strike is 12. Those with no hypertension but had stroke is 4.

Also, those with hypertension but don't have stroke is 37 while those with no hypertension but had stoke is 26.

Therefore, the relative risk will be:

= (12/12 + 37) / (4/4 + 26)

= 12/49 / 4/30

= 1.8367

In conclusion, the correct option is 1.8367.

Learn more about relative risk on:

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Literacy
Fill in the missing letters to make Maths related words:
Venn
Set
Diagram
Universal
S_r_i_g
Event
Probability
Not

Answers

Answer:

Sorting

Step-by-step explanation:

The following shape has 1 pair of parallel sides

Answers

what is the rest of the question?

very easy math do you know whats the answer?

Answers

3 is less than w , 7 is greater than or equal to w

[tex]3 < w \\ 7 \geqslant w[/tex]

Answer:

3 < w = 7 ≥ w

Step-by-step explanation:

Less than= "<"

Greater than or equal to = ≥

Helen wrote and solved the equation.

x minus 17 = 56. x minus 17 + 17 = 56 minus 17. x = 39.

What was Helen’s error?
Helen only needed to add 17 to the left side of the equation.
Helen should have added 17 to both sides of the equation.
Helen’s work is correct.
Helen made a subtraction error when subtracting 17 from 56.

Answers

Answer:

x-17=56

x-17+17=56+17

x=56+17

x=73

Step-by-step explanation:

Do mark BRAINLIEST

Answer:

d

Step-by-step explanation:

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